List questions from contour-integration

Published on 26 Mar 2026 - 3:10

153

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What is $\int_{\lvert z\rvert=1} \mathrm{Log}(z)\,dz$?

Published on 02 Oct 2014 - 19:04

47

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Real value of a complex contour integral equal to the contour integral of the real value of a complex function?

Published on 03 Oct 2014 - 3:19

12.2k

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Fundamental theorem of calculus for complex analysis, proof

Published on 05 Oct 2014 - 3:53

497

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Integrals over closed contour

Published on 07 Oct 2014 - 10:22

169

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A Cosine Integral

Published on 07 Oct 2014 - 15:55

141

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Calculating a complex definite improper integral: $I= \int_{0}^\infty x^{it}\,\mathrm{e}^{-ax}\, dx$

Published on 07 Oct 2014 - 20:24

344

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Approximating a Gaussian integral

Published on 30 Mar 2026 - 0:16

1.3k

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Inverse Laplace of $\frac{\sinh{x\sqrt{s}}}{s^2\sinh{\sqrt{s}}}$

Published on 29 Mar 2026 - 7:00

90

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Using Cauchy's Theorem on Contour Integral

Published on 10 Oct 2014 - 4:47

105

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Complex integration of exponential function

Published on 12 Oct 2014 - 14:27

170

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Complex integration with real integral

Published on 12 Oct 2014 - 21:13

93

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Evaluate $\int_{\partial C} \frac{dz}{(z-a)(z-b)}$ where $\partial C$ is the boundary of a rectangle ($a$ and $b$ are not on $\partial C$)

Published on 29 Mar 2026 - 7:00

60

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Complex integral with imaginary exponent: $\int_0^\pi i \exp((i\theta)^{1+i}) d\theta$

Published on 28 Mar 2026 - 16:45

783

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Parametrization of a Complex Path/Contour Integration

Published on 28 Mar 2026 - 19:29

List Question

What is the relation between two integrals?

What is $\int_{\lvert z\rvert=1} \mathrm{Log}(z)\,dz$?

Real value of a complex contour integral equal to the contour integral of the real value of a complex function?

Fundamental theorem of calculus for complex analysis, proof

Integrals over closed contour

A Cosine Integral

Calculating a complex definite improper integral: $I= \int_{0}^\infty x^{it}\,\mathrm{e}^{-ax}\, dx$

Approximating a Gaussian integral

Inverse Laplace of $\frac{\sinh{x\sqrt{s}}}{s^2\sinh{\sqrt{s}}}$

Using Cauchy's Theorem on Contour Integral

Complex integration of exponential function

Complex integration with real integral

Evaluate $\int_{\partial C} \frac{dz}{(z-a)(z-b)}$ where $\partial C$ is the boundary of a rectangle ($a$ and $b$ are not on $\partial C$)

Complex integral with imaginary exponent: $\int_0^\pi i \exp((i\theta)^{1+i}) d\theta$

Parametrization of a Complex Path/Contour Integration

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